Final answer:
To find out how many hours Paul needs to work to cover his bills in October, we can set up an inequality: 12.50h - 75 ≥ 450. Solving this inequality, we find that Paul needs to work at least 42 hours.
Step-by-step explanation:
To find out how many hours Paul needs to work to cover his bills in October, we can set up an inequality. Let h represent the number of hours Paul needs to work.
Paul earns $12.50 per hour. So, his total earnings will be 12.50h.
Paul also has $75 deducted from his first paycheck for uniforms. So, his total earnings after the deduction will be 12.50h - 75.
To cover his bills, Paul needs to earn at least $450. Therefore, we can write the inequality: 12.50h - 75 ≥ 450.
Now, we can solve the inequality to find the value of h:
- Add 75 to both sides: 12.50h - 75 + 75 ≥ 450 + 75 = 525.
- Divide both sides by 12.50: 12.50h/12.50 ≥ 525/12.50 = 42.
Therefore, Paul needs to work at least 42 hours to cover his bills in October.